The absolute Galois group of a pseudo real closed algebraic field
type: Item
instance of: scholarly article
title: The absolute Galois group of a pseudo real closed algebraic field
zbMATH Open document ID: 0595.12014
author: Dan Haran
author: Moshe Jarden
published in: Pacific Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The authors prove that if k is a countable formally real Hilbertian field and G is a real projective profinite group of rank \(\leq \aleph_ 0\), then there exists a prc-field K extending k algebraically such that the absolute Galois group G(K) of K is isomorphic to G. (For notations see the above review.)
reviewed by: Alexander Prestel
Mathematics Subject Classification ID: 12D15
Mathematics Subject Classification ID: 12F10
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 20E18
zbMATH DE Number: 3957250
zbMATH Keywords: formally real Hilbertian field
zbMATH Keywords: real projective profinite group
zbMATH Keywords: absolute Galois group
MaRDI profile type: Publication
full work available at URL: pjm.1986.123.55
OpenAlex ID: W1996613157
DOI: 10.2140/PJM.1986.123.55
description: scientific article; zbMATH DE number 3957250